| 1. |
- Alaghmandan, Mahmood, 1983, et al.
(författare)
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Dual Space and Hyperdimension of Compact Hypergroups
- 2017
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Ingår i: Glasgow Mathematical Journal. - 0017-0895 .- 1469-509X. ; 59:2, s. 421-435
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Tidskriftsartikel (refereegranskat)abstract
- We characterize dual spaces and compute hyperdimensions of irreducible representations for two classes of compact hypergroups namely conjugacy classes of compact groups and compact hypergroups constructed by joining compact and finite hypergroups. Also, studying the representation theory of finite hypergroups, we highlight some interesting differences and similarities between the representation theories of finite hypergroups and finite groups. Finally, we compute the Heisenberg inequality for compact hypergroups.
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| 2. |
- Alaghmandan, Mahmood, 1983, et al.
(författare)
-
Dual space and hyperdimension of compact hypergroups
- 2017
-
Ingår i: Glasgow Mathematical Journal. - : Cambridge University Press (CUP). - 0017-0895 .- 1469-509X. ; 59:2, s. 421-435
-
Tidskriftsartikel (refereegranskat)abstract
- We characterize dual spaces and compute hyperdimensions of irreducible representations for two classes of compact hypergroups namely conjugacy classes of compact groups and compact hypergroups constructed by joining compact and finite hypergroups. Also, studying the representation theory of finite hypergroups, we highlight some interesting differences and similarities between the representation theories of finite hypergroups and finite groups. Finally, we compute the Heisenberg inequality for compact hypergroups.
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| 3. |
- Blahota, I., et al.
(författare)
-
Two-sided Estimates of the Lebesgue Constants with respect to Vilenkin Systems and Applications
- 2018
-
Ingår i: Glasgow Mathematical Journal. - : Cambridge University Press. - 0017-0895 .- 1469-509X. ; 60:1, s. 17-34
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, we derive two-sided estimates of the Lebesgue constants for bounded Vilenkin systems, we also present some applications of importance, e.g., we obtain a characterization for the boundedness of a subsequence of partial sums with respect to Vilenkin–Fourier series of H1 martingales in terms of n's variation. The conditions given in this paper are in a sense necessary and sufficient.
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